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Finding the Third Proportional to 202,561 and 441,568

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Solution

The third proportional to 202,561 and 441,568 is: 962,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,561 : 441,568 = 441,568 : x
  2. Step 2: Convert to fraction form
    202,561/441,568 = 441,568/x
  3. Step 3: Cross multiply
    202,561x = 441,568 × 441,568
  4. Step 4: Simplify right side
    202,561x = 194,982,298,624
  5. Step 5: Solve for x
    x = 194,982,298,624/202,561
  6. Step 6: Final answer
    x = 962,585.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.